Extensions 1→N→G→Q→1 with N=C2xDic7 and Q=C22

Direct product G=NxQ with N=C2xDic7 and Q=C22
dρLabelID
C23xDic7224C2^3xDic7224,187

Semidirect products G=N:Q with N=C2xDic7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2xDic7):1C22 = C22:D28φ: C22/C1C22 ⊆ Out C2xDic756(C2xDic7):1C2^2224,77
(C2xDic7):2C22 = C23:D14φ: C22/C1C22 ⊆ Out C2xDic756(C2xDic7):2C2^2224,132
(C2xDic7):3C22 = C24:D7φ: C22/C1C22 ⊆ Out C2xDic756(C2xDic7):3C2^2224,148
(C2xDic7):4C22 = D4:6D14φ: C22/C1C22 ⊆ Out C2xDic7564(C2xDic7):4C2^2224,180
(C2xDic7):5C22 = D7xC22:C4φ: C22/C2C2 ⊆ Out C2xDic756(C2xDic7):5C2^2224,75
(C2xDic7):6C22 = C2xD14:C4φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7):6C2^2224,122
(C2xDic7):7C22 = C2xC23.D7φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7):7C2^2224,147
(C2xDic7):8C22 = C2xD4xD7φ: C22/C2C2 ⊆ Out C2xDic756(C2xDic7):8C2^2224,178
(C2xDic7):9C22 = C2xD4:2D7φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7):9C2^2224,179
(C2xDic7):10C22 = D7xC4oD4φ: C22/C2C2 ⊆ Out C2xDic7564(C2xDic7):10C2^2224,184
(C2xDic7):11C22 = C22xC7:D4φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7):11C2^2224,188
(C2xDic7):12C22 = D7xC22xC4φ: trivial image112(C2xDic7):12C2^2224,175

Non-split extensions G=N.Q with N=C2xDic7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2xDic7).1C22 = C28:2Q8φ: C22/C1C22 ⊆ Out C2xDic7224(C2xDic7).1C2^2224,64
(C2xDic7).2C22 = C28.6Q8φ: C22/C1C22 ⊆ Out C2xDic7224(C2xDic7).2C2^2224,65
(C2xDic7).3C22 = C4.D28φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).3C2^2224,70
(C2xDic7).4C22 = C42:2D7φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).4C2^2224,71
(C2xDic7).5C22 = C22:Dic14φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).5C2^2224,73
(C2xDic7).6C22 = D14.D4φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).6C2^2224,78
(C2xDic7).7C22 = D14:D4φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).7C2^2224,79
(C2xDic7).8C22 = C28:Q8φ: C22/C1C22 ⊆ Out C2xDic7224(C2xDic7).8C2^2224,83
(C2xDic7).9C22 = Dic7.Q8φ: C22/C1C22 ⊆ Out C2xDic7224(C2xDic7).9C2^2224,84
(C2xDic7).10C22 = C28.3Q8φ: C22/C1C22 ⊆ Out C2xDic7224(C2xDic7).10C2^2224,85
(C2xDic7).11C22 = D14.5D4φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).11C2^2224,89
(C2xDic7).12C22 = D14:Q8φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).12C2^2224,91
(C2xDic7).13C22 = D14:2Q8φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).13C2^2224,92
(C2xDic7).14C22 = C28.48D4φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).14C2^2224,119
(C2xDic7).15C22 = C23.23D14φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).15C2^2224,124
(C2xDic7).16C22 = C28:7D4φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).16C2^2224,125
(C2xDic7).17C22 = C23.18D14φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).17C2^2224,130
(C2xDic7).18C22 = C28.17D4φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).18C2^2224,131
(C2xDic7).19C22 = C28:2D4φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).19C2^2224,133
(C2xDic7).20C22 = Dic7:Q8φ: C22/C1C22 ⊆ Out C2xDic7224(C2xDic7).20C2^2224,139
(C2xDic7).21C22 = D14:3Q8φ: C22/C1C22 ⊆ Out C2xDic7112(C2xDic7).21C2^2224,141
(C2xDic7).22C22 = D4.10D14φ: C22/C1C22 ⊆ Out C2xDic71124-(C2xDic7).22C2^2224,186
(C2xDic7).23C22 = C4xDic14φ: C22/C2C2 ⊆ Out C2xDic7224(C2xDic7).23C2^2224,63
(C2xDic7).24C22 = C42:D7φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).24C2^2224,67
(C2xDic7).25C22 = C4xD28φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).25C2^2224,68
(C2xDic7).26C22 = C23.D14φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).26C2^2224,74
(C2xDic7).27C22 = Dic7.D4φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).27C2^2224,80
(C2xDic7).28C22 = C22.D28φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).28C2^2224,81
(C2xDic7).29C22 = D7xC4:C4φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).29C2^2224,86
(C2xDic7).30C22 = C4:C4:7D7φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).30C2^2224,87
(C2xDic7).31C22 = C4:D28φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).31C2^2224,90
(C2xDic7).32C22 = C4:C4:D7φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).32C2^2224,93
(C2xDic7).33C22 = C2xDic7:C4φ: C22/C2C2 ⊆ Out C2xDic7224(C2xDic7).33C2^2224,118
(C2xDic7).34C22 = C2xC4:Dic7φ: C22/C2C2 ⊆ Out C2xDic7224(C2xDic7).34C2^2224,120
(C2xDic7).35C22 = C23.21D14φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).35C2^2224,121
(C2xDic7).36C22 = C4xC7:D4φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).36C2^2224,123
(C2xDic7).37C22 = D4xDic7φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).37C2^2224,129
(C2xDic7).38C22 = Dic7:D4φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).38C2^2224,134
(C2xDic7).39C22 = C28:D4φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).39C2^2224,135
(C2xDic7).40C22 = Q8xDic7φ: C22/C2C2 ⊆ Out C2xDic7224(C2xDic7).40C2^2224,140
(C2xDic7).41C22 = C28.23D4φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).41C2^2224,142
(C2xDic7).42C22 = C22xDic14φ: C22/C2C2 ⊆ Out C2xDic7224(C2xDic7).42C2^2224,174
(C2xDic7).43C22 = C2xC4oD28φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).43C2^2224,177
(C2xDic7).44C22 = C2xQ8xD7φ: C22/C2C2 ⊆ Out C2xDic7112(C2xDic7).44C2^2224,181
(C2xDic7).45C22 = D7xC42φ: trivial image112(C2xDic7).45C2^2224,66
(C2xDic7).46C22 = C23.11D14φ: trivial image112(C2xDic7).46C2^2224,72
(C2xDic7).47C22 = Dic7:4D4φ: trivial image112(C2xDic7).47C2^2224,76
(C2xDic7).48C22 = Dic7:3Q8φ: trivial image224(C2xDic7).48C2^2224,82
(C2xDic7).49C22 = D28:C4φ: trivial image112(C2xDic7).49C2^2224,88
(C2xDic7).50C22 = C2xC4xDic7φ: trivial image224(C2xDic7).50C2^2224,117
(C2xDic7).51C22 = C2xQ8:2D7φ: trivial image112(C2xDic7).51C2^2224,182

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